Stephen Moyer and Anna Paquin
Splash News Online
03/12/2013 AT 06:00 AM EDT
, table for four.
New parents Anna Paquin
and Stephen Moyer stepped out for dinner on Saturday night at Boa in Santa Monica with their twins
As the babies rested comfortably in their stroller, Paquin and Moyer
took a seat in the busy restaurant's lounge, where they dined at a small table.
With Paquin dressed in head-to-toe black and Moyer wearing dark jeans and a dark sweater, the True Blood
costars enjoyed conversation while checking on the babies every now and again, an onlooker tells PEOPLE.
For dinner, Moyer drank soda with his steak, while Paquin paired her fish with a glass of Champagne. As their low-key evening continued, Paquin held one of the twins on her lap while she ate.
About an hour later, they packed up the stroller, tucked the twins in, thanked the staff and headed on their way.
– Jennifer Garcia